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2 years ago

For the function g(x) = 1/3x-2, find g(3a – 6)

Mathematics

2 answers:

Keith_Richards [23]2 years ago

7 0

Answer:

g(3a – 6) = a - 4

Step-by-step explanation:

g(x) = 1/3x - 2

g(3a – 6) = 1/3(3a – 6) - 2

= a - 2 - 2

= a - 4

butalik [34]2 years ago

5 0

Answer:

g(3a - 6) = a - 4

Step-by-step explanation:

If you start with g(x) = 1/3 x - 2

Then whatever x = on the left, must take on the value on the right.

g(3a - 6) = 1/3 (3a - 6) - 2 Notice the x is gone and 3a - 6 has taken it's place.

Now you must distribute the 1/3 for both 2a and 6

g(3a - 6) = 1/3 * 3a - 1/3 * 6 - 2

g(3a - 6) = a - 2 - 2

g(3a - 6) = a - 4

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bixtya [17]

Answer:

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a=5 and d=3

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3 years ago

Determine the range of the function.

frosja888 [35]

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3 years ago

Identify the equation of the circle that has its center at (10, 24) and passes through the origin.

marishachu [46]

Answer:

A ) The Equation of the circle (x−10)2+(y−24)2=676

Step-by-step explanation:

step1:-

The equation of the circle whose center is (a,b) and radius r is

$(x-a)^{2} +(y-b)^{2} =r^{2}$

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in this circle equation centre is (g,f) = (10,24)

and formula of radius of a circle is

r = $\sqrt{g^{2}+f^{2} -c }$

Step2:-

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5 0

3 years ago

What is the measure of angle R?

tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

$$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}$

Take only two sides.

$$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}$

Substitute the given values.

$$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}$

Do cross multiplication.

$\Rightarrow36\times\sin R = \sin50^\circ\times20$

sin 50° = 0.766

$\Rightarrow36\times\sin R = 0.766\times20$

$\Rightarrow36\times\sin R = 15.32$

$$\Rightarrow\sin R = \frac{15.32}{36}$

$$\Rightarrow\sin R = 0.4255$

$$\Rightarrow R = \sin^{-1}(0.4255)$

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

3 0

3 years ago

the area of rhode island is approximately 1200 square miles, and its population is approximately 1 million people. What is the b

devlian [24]

Answer: 1,083.3333

Step-by-step explanation:

The best estimate for the population density for Rhode Island is 1,083 people. I found this by dividing 1,300,000 by 1200.

Hope my answer helps you out :D

5 0

3 years ago